Dmitry Chelkak

most citedWeyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval

5 citations · 8 across the 2 of their papers we have counts for

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math-ph2005★ 3 cited

The inverse problem for perturbed harmonic oscillator on the half-line

Dmitry Chelkak, Evgeny Korotyaev

We consider the perturbed harmonic oscillator $T_{D} ψ = - ψ^{''} + x^{2} ψ + q (x) ψ$ , $ψ (0) = 0$ in $L^{2} (R_{+})$ , where $q \in H_{+} = {q^{'}, x q \in L^{2} (R_{+})}$ is a real-valued potential. We prove that the…